Abstract
In this paper, a new chaos-based true random number generator (TRNG) and a sliding mode controller (SMC) to synchronize the proposed TRNGs are proposed. Firstly, the continuous chaotic system is transformed into a discrete system that preserves the original continuous system’s chaotic behavior and makes it easy to realize with the field-programmable gate array (FPGA) for synchronization control. Then, a discrete SMC is introduced to solve the synchronization problem of the master-slave discrete chaotic systems. Subsequently, a novel hybrid function integrated with the El-Gamal algorithm is proposed to complete the TRNG design. Finally, the FPGA-based realization of the synchronized master-slave TRNGs is implemented. The randomness quality of the proposed TRNGs has been ensured by using Shannon’s entropy and histogram analysis. Furthermore, the National Institute of Standards and Technology (NIST) test suite has also been introduced to evaluate the proposed TRNGs and compare with the existing results in the literature.
Highlights
In cryptographic applications, the design of random number generators is crucial
In this paper, following the concept of post-processing [16], a new hybrid function algorithm designed based on the El-Gamal algorithm for post-processing possesses the advantages of the El-Gamal algorithm, which increases the quality of random numbers and improves the security of the cipher-text
DISCRETIZATION OF CONTINUOUS CHAOTIC SYSTEMS This paper aims to implement the synchronized chaosbased true random number generator (TRNG)
Summary
The design of random number generators is crucial. Random number generators can generally be divided into two categories, namely the true random number generator (TRNG) and the pseudo-random number generator. Concerning the chaos-based TRNG design, the works [1], [2] successfully utilized chaotic systems’ random property to propose a new high-speed FPGA-based chaotic TRNG They had not considered the synchronization control of TRNGs. in the communication encryption application, the same initial values must be given for the chaotic random number generators embedded in the transmitter (master) and receiver (slave), respectively. A novel chaos-based hybrid function integrated with the El-Gamal algorithm [10] is proposed to design low-cost TRNGs. The El-Gamal algorithm is a popular asymmetric encryption algorithm. In this paper, following the concept of post-processing [16], a new hybrid function algorithm designed based on the El-Gamal algorithm for post-processing possesses the advantages of the El-Gamal algorithm, which increases the quality of random numbers and improves the security of the cipher-text.
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